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Finding the Third Proportional to 50,005.41 and 118,042.31

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Solution

The third proportional to 50,005.41 and 118,042.31 is: 278,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,005.41 : 118,042.31 = 118,042.31 : x
  2. Step 2: Convert to fraction form
    50,005.41/118,042.31 = 118,042.31/x
  3. Step 3: Cross multiply
    50,005.41x = 118,042.31 × 118,042.31
  4. Step 4: Simplify right side
    50,005.41x = 13,933,987,540.35
  5. Step 5: Solve for x
    x = 13,933,987,540.35/50,005.41
  6. Step 6: Final answer
    x = 278,649.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.